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Finding the Fourth Proportional to 17,770.58, 24,523.40 and 9,812.82

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Solution

The fourth proportional to 17,770.58, 24,523.40 and 9,812.82 is: 13,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.58 : 24,523.40 = 9,812.82 : x
  2. Step 2: Convert to fraction form
    17,770.58/24,523.40 = 9,812.82/x
  3. Step 3: Cross multiply
    17,770.58x = 24,523.40 × 9,812.82
  4. Step 4: Simplify right side
    17,770.58x = 240,643,709.99
  5. Step 5: Solve for x
    x = 240,643,709.99/17,770.58
  6. Step 6: Final answer
    x = 13,541.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.